{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3B6PPW2S7LADRO2ZX4VLGJ2RZA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0454f8e19ccc1ce329283f48409ede06ed0f99f1dd7c9c502b439cf4c0613970","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-09-01T14:55:50Z","title_canon_sha256":"c5e29ae3e4ffd5d7144d3f2745f04194b8c0a7a6d391302ed17ece7795b82673"},"schema_version":"1.0","source":{"id":"1409.0441","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0441","created_at":"2026-05-18T02:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0441v1","created_at":"2026-05-18T02:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0441","created_at":"2026-05-18T02:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"3B6PPW2S7LAD","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3B6PPW2S7LADRO2Z","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3B6PPW2S","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:5b8297e5db3e2d77323e5e60b749c0e3fae09da350aeb0b7ff0b39b967a0b9e0","target":"graph","created_at":"2026-05-18T02:43:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper summarizes three talks given by the author during a PASI conference in Olinda, Brasil","authors_text":"Craig Huneke","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-09-01T14:55:50Z","title":"Absolute Integral Closure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0441","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9214fc0da85ae1e91e5fc95e871a4166402ee7ef0837fd46404cec1742cb2a50","target":"record","created_at":"2026-05-18T02:43:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0454f8e19ccc1ce329283f48409ede06ed0f99f1dd7c9c502b439cf4c0613970","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-09-01T14:55:50Z","title_canon_sha256":"c5e29ae3e4ffd5d7144d3f2745f04194b8c0a7a6d391302ed17ece7795b82673"},"schema_version":"1.0","source":{"id":"1409.0441","kind":"arxiv","version":1}},"canonical_sha256":"d87cf7db52fac038bb59bf2ab32751c829bbb3ca6ec9b3f9930fb7fb297127af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d87cf7db52fac038bb59bf2ab32751c829bbb3ca6ec9b3f9930fb7fb297127af","first_computed_at":"2026-05-18T02:43:52.753969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:52.753969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YXpnd2cfup7EexBozIYvszgKQhB0ynUr1EZ7+PYnE8X8CKWVW9+wEMHSWxPAkKtjq8uYU5icdRlivtYx6WYoAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:52.754381Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.0441","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9214fc0da85ae1e91e5fc95e871a4166402ee7ef0837fd46404cec1742cb2a50","sha256:5b8297e5db3e2d77323e5e60b749c0e3fae09da350aeb0b7ff0b39b967a0b9e0"],"state_sha256":"a8833c49701f0e48610561561ce29dc149389a03147d7dbfc27fd0acdf3b1973"}